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If economic booms continue in industrialising counries we can expect world population growth to eventually fall below replacement levels. This has already occured in parts of Europe (France is the key example).
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While it's true as a general rule and as pointed out by Jim14Qc, your choice of example is not very good as France is actually the second biggest counter-example in Europe with a fertility rate at about 1.98 children per woman (stable replacement being ~2.1). Almost any other choice in the European Union would have been good though, as those 2007 numbers show (source :
CIA World Factbook) :
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Ireland 1.86
United Kingdom 1.66
European Union 1.50
Germany 1.40
Italy 1.29
Spain 1.29
Czech Republic 1.22
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More on topic, exponential growth doesn't seem sustainable for obvious reasons but all indicators are showing the growth gets lower or even negative with the development of a country, auto-moderating the world population.